Question
Download Solution PDFWhich two signs should be interchanged to make the below equation mathematically correct?
24 × 12 - 6 ÷ 40 + 20 = 28
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven equation: 24 × 12 - 6 ÷ 40 + 20 = 28.
BODMAS Table:
Let's check each option one by one.
Option 1) - and +
Given: 24 × 12 - 6 ÷ 40 + 20 = 28
After interchanging the signs we get;
⇒ 24 × 12 + 6 ÷ 40 - 20 = 28
⇒ 24 × 12 + 0.15 - 20 = 28
⇒ 288 + 0.15 - 20 = 28
⇒ 288.15 - 20 = 28
⇒ 268.15 ≠ 28
⇒ LHS ≠ RHS
Option 2) ÷ and -
Given: 24 × 12 - 6 ÷ 40 + 20 = 28
After interchanging the signs we get;
⇒ 24 × 12 ÷ 6 - 40 + 20 = 28
⇒ 24 × 2 - 40 + 20 = 28
⇒ 48 - 40 + 20 = 28
⇒ 68 - 40 = 28
⇒ 28 = 28
⇒ LHS = RHS
Option 3) + and ×
Given: 24 × 12 - 6 ÷ 40 + 20 = 28
After interchanging the signs we get;
⇒ 24 + 12 - 6 ÷ 40 × 20 = 28
⇒ 24 + 12 - 0.15 × 20 = 28
⇒ 24 + 12 - 3 = 28
⇒ 36 - 3 = 28
⇒ 33 ≠ 28
⇒ LHS ≠ RHS
Option 4) + and ÷
Given: 24 × 12 - 6 ÷ 40 + 20 = 28
After interchanging the signs we get;
⇒ 24 × 12 - 6 + 40 ÷ 20 = 28
⇒ 24 × 12 - 6 + 2 = 28
⇒ 288 - 6 + 2 = 28
⇒ 290 - 6 = 28
⇒ 284 ≠ 28
⇒ LHS ≠ RHS
Hence, the correct answer is "Option 2".
Last updated on Jun 30, 2025
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